Question: A Director of Human Resources is exploring employee absenteeism at the INCOVA Hospital. A multiple linear regression analysis was performed using the following variables. The
A Director of Human Resources is exploring employee absenteeism at the INCOVA Hospital. A multiple linear regression analysis was performed using the following variables. The results are presented below.
| Variable | Description | |||
| Y | number of days absent last fiscal year | |||
| x1 | commuting distance (in miles) | |||
| x2 | employee's age (in years) | |||
| x3 | length of employment at PPP (in years) | |||
| Coefficients | Standard Error | t Statistic | p-value | |
| Intercept | 6.594146 | 3.273005 | 2.014707 | 0.047671 |
| x1 | -0.18019 | 0.141949 | -1.26939 | 0.208391 |
| x2 | 0.268156 | 0.260643 | 1.028828 | 0.307005 |
| x3 | -2.31068 | 0.962056 | -2.40182 | 0.018896 |
| R | 0.498191 | |||
| R2 | 0.248194 | |||
| Adj R2 | 0.192089 | |||
| se | 3.553858 | |||
| n | 73 |
Which of the following statements is correct about the adjusted R2?
a. The adjusted R2 value is 0.25. This means that the model explains around 25% of the variation in the average number of days absent in the last year.
b. The adjusted R2 value is approximately 0.19. This means that the model explains around 19% of the variation in the average number of days absent in the last year.
c. The adjusted R2 value is 0.50. This means that the model explains around 50% of the variation in the average number of days absent in the last year.
d. None of the above is correct.
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